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# A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true

(a) A and B earn the same profit

(b) A earns more profit than B

(c) A earns less profit than B

(d) Cannot be decided

**Solution:**

The Cost Price(CP) of tape recorder to A = Rs. 8000

The price at which A sells to B = 8000 + 20% of 8000 (profit of 20%)

= 8000 + (20/100) × 8000

= 8000 + 1600

= Rs. 9600

Profit earned by A = Rs.(9600 - 8000) = Rs. 1600

The cost price of the tape recorder to B is therefore Rs. 9600

The price at which B sells to C = Rs. 9600 + 20% of 9600

= Rs. 9600 + (20/100) × 9600

= Rs. 9600 + Rs. 1920

= Rs. 11,520

Profit earned by B = Rs.(11,520 - 9600) = Rs. 1920

The profit earned by B is more than A.

**✦ ****Try This:** A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 25%. Which of the following is true: (a) A and B earn the same profit, (b) A earns more profit than B, (c) A earns less profit than B, (d) Cannot be decided.

The Cost Price(CP) of tape recorder to A = Rs. 8000

The price at which A sells to B = 8000 + 25% of 8000 (profit of 20%)

= 8000 + (25/100) × 8000

= 8000 + 2000

= Rs. 10,000

Profits earned by A = Rs.(10,000 - 8,000) = Rs. 2000

The cost price of the tape recorder to B is therefore Rs. 10,000

The price at which B sells to C = Rs. 10,000 + 25% of 10,000

= Rs. 10,000 + (25/100) × 10,000

= Rs. 9600 + Rs. 2500

= Rs. 12,500

Profit earned by B = Rs.(12,500- 10,000) = Rs. 2500

Profit earned by B more than profit earned by A

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 8

**NCERT Exemplar Class 8 Maths Chapter 9 Problem 12**

## A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true (a) A and B earn the same profit, (b) A earns more profit than B, (c) A earns less profit than B, (d) Cannot be decided

**Summary:**

A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20% then A earns less profit than B

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